Find the derivative of the function.
f(x) = (x+1)(4x^2-8x+7)
Y = (X + 1)(4X^2 -8X + 7).
Perform the multiplication:
Y = 4X^3 - 8X^2 + 7X + 4X^2 -8X + 7,
Combine like-terms:
Y = 4X^3 - 4X^2 - X +7,
Take the derivative:
dy/dx = 12X^2 - 8X - 1.
f(x) = (x+1)(4x^2-8x+7)
Perform the multiplication:
Y = 4X^3 - 8X^2 + 7X + 4X^2 -8X + 7,
Combine like-terms:
Y = 4X^3 - 4X^2 - X +7,
Take the derivative:
dy/dx = 12X^2 - 8X - 1.